578edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 241254571 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 457120212 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-13 20:26:58 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-10-05 22:44:03 UTC</tt>.<br>
: The original revision id was <tt>241254571</tt>.<br>
: The original revision id was <tt>457120212</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //578 equal division// divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&amp;118 temperament, and 119098/117649 which together with the schisma gives 7-limit [[Schismatic family#Pogo|pogo temperament]], the 94&amp;130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the [[optimal patent val]] for pogo and the planar temperament [[Swetismic temperaments#Hades|hades]].</pre></div>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //578 equal division// divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&amp;118 temperament, and 119098/117649 which together with the schisma gives 7-limit [[Schismatic family#Pogo|pogo temperament]], the 94&amp;130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the [[optimal patent val]] for 11-limit pogo and the planar temperament [[Swetismic temperaments#Hades|hades]]. In the 13-limit, it tempers out 729/729, 1575/1573, 1716/1715 and provides the optimal patent val for 13-limit pogo, as well as other temperaments tempering out 1716/1715, the rank five temperament for which  it also provides the optimal patent val.</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;578edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;578 equal division&lt;/em&gt; divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&amp;amp;118 temperament, and 119098/117649 which together with the schisma gives 7-limit &lt;a class="wiki_link" href="/Schismatic%20family#Pogo"&gt;pogo temperament&lt;/a&gt;, the 94&amp;amp;130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for pogo and the planar temperament &lt;a class="wiki_link" href="/Swetismic%20temperaments#Hades"&gt;hades&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;578edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;578 equal division&lt;/em&gt; divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&amp;amp;118 temperament, and 119098/117649 which together with the schisma gives 7-limit &lt;a class="wiki_link" href="/Schismatic%20family#Pogo"&gt;pogo temperament&lt;/a&gt;, the 94&amp;amp;130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 11-limit pogo and the planar temperament &lt;a class="wiki_link" href="/Swetismic%20temperaments#Hades"&gt;hades&lt;/a&gt;. In the 13-limit, it tempers out 729/729, 1575/1573, 1716/1715 and provides the optimal patent val for 13-limit pogo, as well as other temperaments tempering out 1716/1715, the rank five temperament for which  it also provides the optimal patent val.&lt;/body&gt;&lt;/html&gt;</pre></div>